{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.429308200Z",
     "start_time": "2024-05-17T02:58:11.412009900Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import random\n",
    "import torch\n",
    "from d2l import torch as d2l"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "y = xw + b + c"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "343b70d4c6f6aaa0"
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[-1.3569, -0.2580],\n",
      "        [ 0.7432,  0.5058],\n",
      "        [ 0.2028, -0.5056],\n",
      "        ...,\n",
      "        [-0.3360,  0.1975],\n",
      "        [-0.5763, -0.6235],\n",
      "        [ 0.0082, -1.3178]])\n",
      "tensor([ 2.3651e+00,  3.9731e+00,  6.3277e+00,  3.8709e+00,  5.2374e-03,\n",
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      "         3.4956e+00,  1.8655e+00,  3.0433e+00,  8.8290e+00,  8.9110e+00,\n",
      "         3.3088e+00,  8.1509e+00,  2.8646e+00,  5.1670e+00,  8.6997e+00])\n"
     ]
    }
   ],
   "source": [
    "def synthetic_data(w, b, num_examples):\n",
    "    x = torch.normal(0, 1, (num_examples, len(w)))\n",
    "    print(x)\n",
    "    y = torch.matmul(x, w) + b\n",
    "    y += torch.normal(0, 0.01, y.shape)  # c 噪音\n",
    "    print(y)\n",
    "    return x, y.reshape((-1, 1))  # y是一个列向量\n",
    "\n",
    "\n",
    "true_w = torch.tensor([2, -3.4])\n",
    "true_b = 4.2\n",
    "\n",
    "features, labels = synthetic_data(true_w, true_b, 1000)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.471610100Z",
     "start_time": "2024-05-17T02:58:11.420158500Z"
    }
   },
   "id": "28972024cd379792"
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "features: tensor([-1.3569, -0.2580]), labels: tensor([2.3651])\n"
     ]
    }
   ],
   "source": [
    "print(f\"features: {features[0]}, labels: {labels[0]}\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.495149500Z",
     "start_time": "2024-05-17T02:58:11.428307900Z"
    }
   },
   "id": "85ddbcc5b91bb33d"
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "outputs": [
    {
     "data": {
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     },
     "execution_count": 17,
     "metadata": {},
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    },
    {
     "data": {
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d2l.set_figsize()\n",
    "d2l.plt.scatter(features[:, 1].detach().numpy(),\n",
    "                labels.detach().numpy(), 1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.531628700Z",
     "start_time": "2024-05-17T02:58:11.433036400Z"
    }
   },
   "id": "90713234f104efd6"
  },
  {
   "cell_type": "markdown",
   "source": [
    "把数据 按照 batch_size 拆成一个个批次 方便喂数据"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "d469db401e7319d"
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "outputs": [],
   "source": [
    "def data_iter(batch_size, features, labels):\n",
    "    num_examples = len(features)\n",
    "    indices = list(range(num_examples))\n",
    "    random.shuffle(indices)\n",
    "    for i in range(0, num_examples, batch_size):\n",
    "        batch_indices = torch.tensor(\n",
    "            indices[i:min(i + batch_size, num_examples)]\n",
    "        )\n",
    "        yield features[batch_indices], labels[batch_indices]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.532629100Z",
     "start_time": "2024-05-17T02:58:11.507428Z"
    }
   },
   "id": "21bda719119a8955"
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[-0.8343,  1.4826],\n",
      "        [ 0.6064,  0.9937],\n",
      "        [-1.6066, -0.6167],\n",
      "        [-1.0301, -0.8835],\n",
      "        [ 1.4759, -1.1945],\n",
      "        [-0.6566, -0.5820],\n",
      "        [ 0.7583,  2.1123],\n",
      "        [-0.9479, -1.4777],\n",
      "        [ 0.4311,  0.3828],\n",
      "        [-0.4005, -1.0105]])\n",
      "tensor([[-2.5006],\n",
      "        [ 2.0316],\n",
      "        [ 3.0805],\n",
      "        [ 5.1554],\n",
      "        [11.2296],\n",
      "        [ 4.8538],\n",
      "        [-1.4601],\n",
      "        [ 7.3150],\n",
      "        [ 3.7573],\n",
      "        [ 6.8397]])\n"
     ]
    }
   ],
   "source": [
    "batch_size = 10\n",
    "for x, y in data_iter(batch_size, features, labels):\n",
    "    print(x)\n",
    "    print(y)\n",
    "    break"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.532629100Z",
     "start_time": "2024-05-17T02:58:11.511816400Z"
    }
   },
   "id": "9225cef7c3301de0"
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "outputs": [],
   "source": [
    "w = torch.normal(0, 0.01, size=(2, 1), requires_grad=True)\n",
    "b = torch.zeros(1, requires_grad=True)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.570557700Z",
     "start_time": "2024-05-17T02:58:11.521214800Z"
    }
   },
   "id": "a043ea8eb314b0cb"
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "outputs": [],
   "source": [
    "def linreg(x, w, b):\n",
    "    return torch.matmul(x, w) + b"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.580559600Z",
     "start_time": "2024-05-17T02:58:11.528628100Z"
    }
   },
   "id": "efb7608877be44fd"
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "outputs": [],
   "source": [
    "def squared_loss(y_hat, y):\n",
    "    return (y_hat - y.reshape(y_hat.shape)) ** 2 / 2"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.580559600Z",
     "start_time": "2024-05-17T02:58:11.538831100Z"
    }
   },
   "id": "4d607458906e753f"
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "outputs": [],
   "source": [
    "def sgd(params, lr, batch_size):\n",
    "    with torch.no_grad():\n",
    "        for param in params:\n",
    "            param -= lr * param.grad / batch_size\n",
    "            param.grad.zero_()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.581559900Z",
     "start_time": "2024-05-17T02:58:11.547735600Z"
    }
   },
   "id": "9b3e00b74dd4219e"
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1, loss 0.000051\n",
      "epoch 2, loss 0.000050\n",
      "epoch 3, loss 0.000051\n"
     ]
    }
   ],
   "source": [
    "lr = 0.03\n",
    "num_epochs = 3\n",
    "net = linreg\n",
    "loss = squared_loss\n",
    "\n",
    "for epoch in range(num_epochs):\n",
    "    for x, y in data_iter(batch_size, features, labels):\n",
    "        # print(x)\n",
    "        # print(w)\n",
    "        l = loss(net(x,w,b), y)\n",
    "        l.sum().backward()\n",
    "        sgd([w,b], lr, batch_size)\n",
    "    \n",
    "    with torch.no_grad():\n",
    "        train_l = loss(net(features, w, b), labels)\n",
    "        print(f\"epoch {epoch + 1 }, loss {float(train_l.mean()):f}\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T03:00:11.254531400Z",
     "start_time": "2024-05-17T03:00:11.207038900Z"
    }
   },
   "id": "298ee981a0e502ae"
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T03:00:13.052928700Z",
     "start_time": "2024-05-17T03:00:13.049425700Z"
    }
   },
   "id": "24d7e10509df1e27"
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-17T02:58:11.720517900Z",
     "start_time": "2024-05-17T02:58:11.718016500Z"
    }
   },
   "id": "fc3ebc0e5d6011ac"
  }
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